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Combinatorics and Probability cheat sheet !

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Joined: 17 Jan 2018
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Combinatorics and Probability cheat sheet !  [#permalink]

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New post 09 Oct 2018, 08:02
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Combinatorics



* Permutation formula: \(^nP_r\) = \(\frac{n! }{ (n-r)!}\)

* Combination formula: \(^nC_r\) = \(\frac{n! }{ (r!)*(n-r)!}\)

* \(^nP_n\) = n!

* \(^nC_r\) = \(^nC_n_+_r\)

* The number of ways in which n things can be arranged taking them all at a time where p things are exactly the same,q things are exactly the same and r
things are exactly the same.

= \(\frac{n!}{p!*q!*r!}\)

* The number of ways of selecting one or more items from n given items

= \(2^n\) -1



EXTRA FORMULAS



* The number of ways of dividing (p+q) items into two groups of p & q items respectively

= \(\frac{(p+q)!}{p!*q!}\)


Probability




Probability = \(\frac{Number of favorable outcomes }{Number of all possible outcomes}\)

Probability of events A & B happening = Probability of A * Probability of B

Probability of either event A or B happening = Probability of A + Probability of B
Senior Manager
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Re: Combinatorics and Probability cheat sheet !  [#permalink]

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New post 12 Oct 2018, 04:57
chirayuvyas97

Thanks for cheat sheet
GMAT Club Bot
Re: Combinatorics and Probability cheat sheet !   [#permalink] 12 Oct 2018, 04:57
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Combinatorics and Probability cheat sheet !

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